Least Common Multiple (LCM) of 187 and 87
The least common multiple (LCM) of 187 and 87 is 16269.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 187 and 87?
First, calculate the GCD of 187 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 87 = 2 remainder 13 |
| 2 | 87 ÷ 13 = 6 remainder 9 |
| 3 | 13 ÷ 9 = 1 remainder 4 |
| 4 | 9 ÷ 4 = 2 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 183 and 71 | 12993 |
| 157 and 36 | 5652 |
| 185 and 182 | 33670 |
| 67 and 194 | 12998 |
| 157 and 14 | 2198 |